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3 marksVector Geometry Problems

CSEC Mathematics · May/June 2011 · Paper 2 · Question 11(c)(ii)

WXYV is a parallelogram. VY = a and VW = b. S is a point on WY such that WS : SY = 1 : 2.

R is the mid-point of VW. Prove that R, S and X are collinear.

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Other parts of this question

  1. 11(a)Determine the inverse of the matrix [[3, 5], [2, 4]].[2 marks]
  2. 11(b)(i)Determine the values of a and b.[2 marks]
  3. 11(b)(ii)Describe fully the transformation, M.[3 marks]
  4. 11(c)(i)a)Write in terms of a and b, an expression for WY.[5 marks]
  5. 11(c)(i)b)Write in terms of a and b, an expression for WS.[5 marks]
  6. 11(c)(i)c)Write in terms of a and b, an expression for SX.[5 marks]

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